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Analytic Capacity Rectifiability Menger Curvature and Cauchy Integral Book PDF Summary

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlevé problem.

Detail Book of Analytic Capacity Rectifiability Menger Curvature and Cauchy Integral PDF

Analytic Capacity  Rectifiability  Menger Curvature and Cauchy Integral
  • Author : Hervé Pajot
  • Release : 26 November 2002
  • Publisher : Springer Science & Business Media
  • ISBN : 3540000011
  • Genre : Mathematics
  • Total Page : 140 pages
  • Language : English
  • PDF File Size : 13,5 Mb

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